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Control of fractional-order chaotic systems under perturbations | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 21 فروردین 1404 اصل مقاله (1.61 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.59973.2556 | ||
| نویسنده | ||
| Saeed Mirzajani* | ||
| Department of Mathematics, National University of Skills (NUS), Tehran 143576-1137, Iran. | ||
| چکیده | ||
| In this paper, an appropriate fractional-integer integral sliding mode method for the control of fractional-order chaotic systems with perturbations such as uncertainties and external disturbances is addressed. When the upper bound of the perturbations is determined, a sliding mode controller is presented. Also, when the upper bound of the perturbations is unknown, an adaptive sliding mode control is designed. Analysis of the stability of the sliding mode surface is presented using the Lyapunov stability theory. Eventually, the results were carried out for the control of the complex fractional order chaotic T system. | ||
| کلیدواژه‌ها | ||
| Fractional-order system؛ chaotic system؛ sliding mode control؛ perturbation | ||
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آمار تعداد مشاهده مقاله: 19 تعداد دریافت فایل اصل مقاله: 38 |
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